61. The Furstenburg Conjecture And Rigidity If two commuting endomorphisms of a torus are incommensurable (no power of one is a power of the other), then their joint action should be rigid. Some of the conjectures and open problems compiled by the AIM. http://aimath.org/WWN/furstenburg/

The Furstenburg Conjecture and Rigidity This web page highlights some of the conjectures and open problems concerning The Furstenburg Conjecture and Rigidity. Click on the subject to see a short article on that topic. If you would like to print a hard copy of the entire web page, you can download a dvi postscript or pdf version. The Furstenburg Conjecture and Rigidity Statement of the Conjecture History and past results Analogous problems ... Approaches to a counterexample

62. Geometry: Geometry:Conjectures, Geometry Conjectures, Odd Integers geometry conjectures, odd integers, even integers A conjecture is essentially a guess. By observing some examples you are supposed to make an intelligent guess. Now let us see http://en.allexperts.com/q/Geometry-2060/Geometry-Conjectures.htm

zGRH=1 zJs=10 zJs=11 zJs=12 zJs=13 zc(5,'jsc',zJs,9999999,'') zDO=0 AllExperts Geometry Search Geometry Volunteer Answers to thousands of questions Home More Geometry Questions Answer Library ... Encyclopedia zmhp('style="color:#fff"') More Geometry Answers Question Library Ask a question about Geometry Volunteer ... Link to Us About Vishwas K Hajirnis Expertise I will try to solve Geometry related problems of High-School and Junior college level. Experience Experience in part-time teaching. Education/Credentials Post Graduate in Applied Maths. . You are here: Experts Science Math for Kids Geometry ... Geometry - Geometry:Conjectures Expert: Vishwas K Hajirnis - 9/5/2004 Question "My teacher didn't explain conjectures and I'm having trouble on how to solve those equations. Ex: The product of an odd number and an even number is ?. Can you help me and give me advice and in depth description?"; You will be seeing me again. Thanks! Answer A conjecture is essentially a guess. By observing some examples you are supposed to make an intelligent guess. Now let us see what can we guess when an odd number is multiplied by an even number.

63. Conjecture 33. The Goldbach Temptation Rodr�guez has verified this conjecture up to N=5*107. He also has studied the quotients kmax/(ln(N))2 and j max/(ln(N))2. And the questions are http://www.primepuzzles.net/conjectures/conj_033.htm

Conjectures Conjecture The Goldbach Temptation Believe it or not I received in the same week four proposals for puzzles-conjectures related to the old and noble Goldbach's Conjecture (GC): "Every even integer greater than 3 is the sum of two prime numbers". Sebastian Mart�n Ruiz found (see historical note below) that the GC is equivalent to the following statement involving the well known Euler's function (n -k )=(n-1) -k Q1. Can you display the equivalence between the GC and the SMR statement? Q2. Can you prove the SMR statement without using the GC? Jon Perry sent the following conjecture with the same simple arithmetic structure than the GC: Every sufficiently large even number is the sum of two co-prime odd composite integers. After a little empirical verification of the conjecture, I suggested to Perry that the implicit "sufficiently even large number" might be the not so large but the nice number 210. Q3. Can you prove or disapprove the Perry's Conjecture?

64. Tait's Knot Conjectures -- From Wolfram MathWorld P. G. Tait undertook a study of knots in response to Kelvin's conjecture that the atoms were composed of knotted vortex tubes of ether (Thomson 1869). He categorized knots in terms http://mathworld.wolfram.com/TaitsKnotConjectures.html

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Unsolved Problems Tait's Knot Conjectures P. G. Tait undertook a study of knots in response to Kelvin's conjecture that the atoms were composed of knotted vortex tubes of ether (Thomson 1869). He categorized knots in terms of the number of crossings in a plane projection. He also made some conjectures which remained unproven until the discovery of Jones polynomials 1. Reduced alternating diagrams have minimal link crossing number 2. Any two reduced alternating diagrams of a given knot have equal writhe 3. The flyping conjecture , which states that the number of crossings is the same for any reduced diagram of an alternating knot Conjectures (1) and (2) were proved by Kauffman (1987), Murasugi (1987ab), and Thistlethwaite (1987, 1988) using properties of the Jones polynomial or Kauffman polynomial F (Hoste et al. 1998). Conjecture (3) was proved true by Menasco and Thistlethwaite (1991, 1993) using properties of the Jones polynomial (Hoste et al.

65. Conjectures - Definition And More From The Free Merriam-Webster Dictionary Definition of conjecture from the MerriamWebster Online Dictionary with audio pronunciations, thesaurus, Word of the Day, and word games. http://www.merriam-webster.com/netdict/conjectures

66. Belmont Club: September 2003 The Three conjectures argued that such a capability would be very difficult for a The Three conjectures further argued that this kind of power, http://belmontclub.blogspot.com/2003_09_01_archive.html

Belmont Club History and History in the Making Tuesday, September 30, 2003 Treason Dan Darling at Regnum Crucis wonders about the comparatively high percentage of suspected traitors at the Guantanamo Bay detention facility. "We now have at least three moles at Gitmo (which isn't all that large a facility), I don't think it's all that implausible to suspect that they might have been working together" that is, two translators and one Muslim chaplain. To put that number in perspective, there are 80 translators at Guantanamo and 12 Muslim chaplains in the US Armed Services. Although the high percentage of suspects among chaplains (as compared to translators) is affected by the small sample size and the unfortunate choice of the institutions chosen to supply the chaplains, the situation among the translators is also disturbing given that one of the suspects was already "a supply clerk before being pressed into service as a translator at Guantanamo Bay" . And there may be more. Gen. Peter Pace, vice chairman of the Joint Chiefs of Staff, said, "we don't presume that the two we know about is all there is to it"

67. Conjecture Conjectures Hypothesis Proofs True Proof Proven Conjecture conjectures Hypothesis Proofs True Proof Proven Economy. http://www.economicexpert.com/a/Conjecture.htm

68. Math Forum - Ask Dr. Math What is the difference between the terms conjecture and hypothesis ? Should the Riemann hypothesis be the Riemann conjecture? http://mathforum.org/library/drmath/view/52249.html

Associated Topics Dr. Math Home Search Dr. Math Conjectures vs. Hypotheses Date: 01/12/99 at 03:29:08 From: Ernest Lau Subject: Number theory What is the difference between the terms 'conjecture' and 'hypothesis'? For example, could the Riemann hypothesis be called the Riemann conjecture? What happens to a conjecture after it has been proven? Will it still be called a conjecture? For example, if the Taniyama-Shimura conjecture is proven in full, will it still be called that or something else? http://mathforum.org/dr.math/ Associated Topics College Definitions College Imaginary/Complex Numbers College Number Theory High School Definitions ... High School Number Theory Search the Dr. Math Library: Find items containing (put spaces between keywords): Click only once for faster results: [ Choose "whole words" when searching for a word like age. all keywords, in any order at least one, that exact phrase parts of words whole words Submit your own question to Dr. Math Math Forum Home Math Library Quick Reference ... Math Forum Search Ask Dr. Math TM http://mathforum.org/dr.math/

69. Conjectures Legal Definition Of Conjectures. Conjectures Synonyms By The Free On conjecture noun assumption, belief, guess, hypothesis, imputation, inference, opinion, postulation, presumption, presupposition, presurmise, speculation, supposal, supposition http://legal-dictionary.thefreedictionary.com/conjectures

70. The Credit Crisis Conjectures About Causes And Remedies Douglas W File Format PDF/Adobe Acrobat Quick View http://www.aeaweb.org/assa/2009/retrieve.php?pdfid=401

71. Peter Flach's PhD Thesis PhD thesis of Peter Flach, investigating the `logic of induction from philosophical and machine-learning perspectives. http://www.cs.bris.ac.uk/~flach/Conjectures/

Bristol CS Index ML group Peter Flach ... Presentations Conjectures An inquiry concerning the logic of induction Peter Flach This thesis gives an account of my investigations into the logical foundations of inductive reasoning. I combine perspectives from philosophy, logic, and artificial intelligence. Summary Introduction and overview Conclusions Table of Contents and PDF/PostScript ... Download all PostScript (compressed tar archive, 780K) PhD defence picture P A Flach Peter.Flach@bristol.ac.uk . Last modified on Friday 20 November 1998 at 15:35. University of Bristol

72. Magic 2011 Core Set Predictions And Conjectures | Gathering Magic | Magic The Ga 33 posts 3 authors - Last post May 3The Zendikar block was fun, wasn t it? It seems like only yesterday we were on the edge of our seats waiting to see what Sorin s final http://www.gatheringmagic.com/2010/05/magic-2011-core-set-predictions-and-conjec

@import url( http://www.gatheringmagic.com/wp-content/themes/BlueMagic/style.css ); Home Forum Archives Chat ... Contact A Magic the Gathering Forum and Blog for Spoilers, Scars of Mirrodin, M11, Combos, MTG, MTGO, Deck Ideas, From the Vault and Magic May Magic 2011 Core Set Predictions and Conjectures Magic 2011 will look like. A Return to Dominaria (and a light story line) always take place Jace Beleren Jace, the Mind Sculptor Chandra Ablaze from Zendikar, of course, but what about the other three Lorwyn walkers?!  My guess is that Gideon Jura will replace Ajani Goldmane On a lighter note, keep an eye out for this gem in M11: actually new. FINALLY! New cards in the core set!... wait... Day of Judgment Path to Exile are in.. oh and Cancel Path to Exile Cancel too! Most of your M10 favorites are back! - Put away the pitchforks and torches, people!  Baneslayer Angel and Lightning Bolt Sphinx Ambassador At least one new Evergreen mechanic - Borgadan Hellkite Guan Yu, Sainted Warrior kicker will be the next evergreen ability in M11.  Bank on it! Wizards originally intended for BBE to fly and gain you a little life but sadly, a printing error prevented

73. Belmont Club The Three conjectures. A Pew poll finds 40% of Americans worry that an US city will be destroyed by a terrorist nuclear attack . James Lileks thinks the annihilation of a city http://belmontclub.blogspot.com/2003/09/three-conjectures-pew-poll-finds-40-of.h

Belmont Club History and History in the Making Friday, September 19, 2003 The Three Conjectures A Pew poll finds 40% of Americans worry that an US city will be destroyed by a terrorist nuclear attack . James Lileks thinks the annihilation of a city is a dead certainty and will only mark the start of a long, wearying struggle against Islamists armed with nuclear car bombs. The imminence of the threat is open to debate. Despite the perception that technological diffusion has put weapons of mass destruction within easy reach of Islamic terrorists the cliché of a mullah brewing anthrax in a cave terrorist weapons remain at the 1970s level. The Al-Qaeda attack on the September 11 was the most sophisticated terrorist assault in history. Yet it did not employ any new technological elements, just the creative use of old techniques like the airline hijacking. High explosives, small arms, and poison gas still comprise the terrorist arsenal. The limiting factor is the lack of terrorist engineering resources to make sophisticated weaponry. The principles of ballistics, explosive chemistry and aeronautics needed to make combat aircraft are well known; but groups like Al Qaeda don't have the personnel, facilities and secure environment to turn the concepts into a working object and so have no combat aircraft. Making a

74. §11. Conjectures And Restorations Of Pope. XI. The Text Of Shakespeare. Vol. 5. A small proportion of these may be regarded as legitimate conjectures; but the great majority are Many of his conjectures have been generally accepted. http://www.bartleby.com/215/1111.html

Select Search World Factbook Roget's Int'l Thesaurus Bartlett's Quotations Respectfully Quoted Fowler's King's English Strunk's Style Mencken's Language Cambridge History The King James Bible Oxford Shakespeare Gray's Anatomy Farmer's Cookbook Post's Etiquette Bulfinch's Mythology Frazer's Golden Bough All Verse Anthologies Dickinson, E. Eliot, T.S. Frost, R. Hopkins, G.M. Keats, J. Lawrence, D.H. Masters, E.L. Sandburg, C. Sassoon, S. Whitman, W. Wordsworth, W. Yeats, W.B. All Nonfiction Harvard Classics American Essays Einstein's Relativity Grant, U.S. Roosevelt, T. Wells's History Presidential Inaugurals All Fiction Shelf of Fiction Ghost Stories Short Stories Shaw, G.B. Stein, G. Stevenson, R.L. Wells, H.G. Reference Cambridge History The Drama to 1642, Part One The Text of Shakespeare ... BIBLIOGRAPHIC RECORD The Cambridge History of English and American Literature in 18 Volumes Volume V. The Drama to 1642, Part One. XI. The Text of Shakespeare Macbeth Romeo and Juliet Romeo and Juliet oeillades CONTENTS VOLUME CONTENTS INDEX OF ALL CHAPTERS BIBLIOGRAPHIC RECORD Click here to shop the Bartleby Bookstore Shakespeare Bible Saints ... Lit. History

75. Characteristic Zero Analogues Of The Weil Conjectures: Curves « Secret Blogging Apr 2, 2010 The quest to prove the Weil conjectures drove algebraic geometry throughout the middle of the twentieth century. http://sbseminar.wordpress.com/2010/04/02/characteristic-zero-analogues-of-the-w

76. Conjectures < Tüm Sözlükler < Sesli Sözlük : Ingilizce Türkçe Almanca Yun conjectures ingilizce t rk e s zl k conjectures nedir? conjectures tanımı t m s zl kler conjectures etimolojisi conjectures okunuşu conjectures s zl k anlamı http://www.seslisozluk.com/?word=conjectures

77. The Credit Crisis: Conjectures About Causes And Remedies by DW Diamond Cited by 83 - Related articles http://www.nber.org/papers/w14739

NATIONAL BUREAU OF ECONOMIC RESEARCH HOME PAGE The Credit Crisis: Conjectures about Causes and Remedies Douglas W. Diamond Raghuram Rajan NBER Working Paper No. 14739 Issued in February 2009 NBER Program(s): AP CF IFM ME What caused the financial crisis that is sweeping across the world? What keeps asset prices and lending depressed? What can be done to remedy matters? While it is too early to arrive at definite answers to these questions, it is certainly time to offer informed conjectures, and these are the focus of this paper. You may purchase this paper on-line in .pdf format from SSRN.com ($5) for electronic delivery. Information about Free Papers You should expect a free download if you are a subscriber , a corporate associate of the NBER, a journalist , an employee of the U.S. federal government with a ".GOV" domain name, or a resident of nearly any developing country or transition economy If you usually get free papers at work/university but do not at home, you can either connect to your work VPN or proxy (if any) or elect to have a link to the paper emailed to your work email address below. The email address must be connected to a subscribing college, university, or other subscribing institution. Gmail and other free email addresses will not have access. E-mail: Machine-readable bibliographic record - MARC RIS BibTeX National Bureau of Economic Research, 1050 Massachusetts Ave., Cambridge, MA 02138;

78. Karl Popper: �Science: Conjectures And Refutations� Karl Popper “Science conjectures and Refutations” Central problem how to distinguish between science and pseudoscience? Suggestion empirical method? http://spruce.flint.umich.edu/~simoncu/380/popper.htm

Karl Popper: �Science: Conjectures and Refutations� Central problem: how to distinguish between science and pseudo-science? Suggestion: empirical method Not good enough � what counts as a good empirical method? After all, astrology can produce tons of confirmation, and indeed Adlerian psychology is consistent with any results (case of Adler explaining child�s behaviour without even seeing him because of his �thousandfold experience�) including apparently contradictory behaviour, e.g.: man pushing child into water to drown it (man suffers from feelings of inferiority so has to prove worth by committing crime) man sacrifices self to save child (man suffers from feelings of inferiority so has to prove worth by making sacrifice) Popper�s conclusion: apparent strength of Freudian and Adlerian psychology, and Marx�s theory of history, that they can explain anything is actually a weakness Contrast with Einstein�s theory that took risks Conclusions: It is easy to obtain confirmations of a theory if we look for them Confirmations should really only count if they are the result of risky predictions Every �good� scientific theory is a prohibition : it forbids certain things from happening.

79. Integer Conjectures Conjecture Among all positive integers, 666 is the repdigit polygonal number of this problem led to a series of conjectures, the most outlandish being http://www.cadaeic.net/conjectures.htm

True or False? Some Integer Conjectures Mike Keith There's something satisfying about exploring some corner of the mathematical universe and discovering new facts and theorems. Even more interesting is to dig far enough to come across possible theorems whose proof is elusive. Here are a few conjectures from my ramblings among the positive integers. The Weighty Beast conjecture This one relates to the number . First, a few definitions are required. A polygonal number is a positive integer of the form P k,n n k n k where k is the 'order' of the polygonal number ( k =3 gives the triangular numbers, k =4 the squares, k =5 the pentagonal numbers, etc.), and n is its index. In other words, P k,n ) is the n th k th-order polygonal number. A repdigit number is an integer whose base-10 representation consists of a repeated non-zero digit (e.g., 11 or 222 or 555555). Define the weight of a polygonal number as n/k . Finally, define a repdigit polygonal number as a polygonal number that also happens to be a repdigit. Observe that P (3,36) = 666, so 666 is a repdigit polygonal number, with weight = 36/3 = 12. Now the conjecture:

80. Teaching Math: Grades 3-5: Reasoning And Proof Conjecture that is, informed guessing is a major pathway to discovery. Teachers and researchers agree that students can learn to make, refine, and test conjectures in http://www.learner.org/courses/teachingmath/grades3_5/session_04/section_03_b.ht

Defining Reasoning and Proof Introduction Investigating Conjectures Reasoning and Justification Additional Methods Your Journal "Conjecture that is, informed guessing is a major pathway to discovery. Teachers and researchers agree that students can learn to make, refine, and test conjectures in elementary school. Beginning in the earliest years, teachers can help students learn to make conjectures by asking questions: What do you think will happen next? What is the pattern? Is this true always? Sometimes? Simple shifts in how tasks are posed can help students learn to conjecture" (NCTM, 2000, p. 57). While working on projects or investigations, students can be encouraged to make and investigate conjectures. For example, in Part A, we saw an open-ended assignment that encouraged students to search for patterns and relationships in an organized chart of n + n and n x n values. One classmate, Robert, made what might seem at first an obvious conjecture about n + n always being even. The teacher posed Robert's conjecture to all the students to provide them with experience in using reasoning and proving a conjecture. Frequent exposure to students' examples, or a teacher's modeling of conjectures, advances the idea that conjectures are made by actual people and are based on observation. Review the teacher's questions from Sums of Numbers in Part A. Notice that the teacher's questions guide and encourage the class to use increasingly sophisticated levels of reasoning and a variety of methods of verification, including proof. Models, manipulatives, drawings, and the systematic organization of observations can help reveal patterns and pinpoint mathematical relationships. These are all useful tools for reasoning and for testing conjectures.

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